Geodesic
Elliptic curves on some homogeneous spaces
Documenta mathematica, Tome 18 (2013), pp. 679-706.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $X$ be a minuscule homogeneous space, an odd-dimensional quadric, or an adjoint homogenous space of type different from $A$ and $G_2$. Le $C$ be an elliptic curve. In this paper, we prove that for $d$ large enough, the scheme of degree $d$ morphisms from $C$ to $X$ is irreducible, giving an explicit lower bound for $d$ which is optimal in many cases.
Classification : 14M15, 14N35
Keywords: elliptic curves, minuscule homogeneous spaces, adjoint homogeneous spaces 
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     author = {Pasquier, B. and Perrin, N.},
     title = {Elliptic curves on some homogeneous spaces},
     journal = {Documenta mathematica},
     pages = {679--706},
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     volume = {18},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a27/}
}
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Pasquier, B.; Perrin, N. Elliptic curves on some homogeneous spaces. Documenta mathematica, Tome 18 (2013), pp. 679-706. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a27/